Inequalities with Absolute Value

Math ⇒ Algebra

Inequalities with Absolute Value starts at 8 and continues till grade 12. QuestionsToday has an evolving set of questions to continuously challenge students so that their knowledge grows in Inequalities with Absolute Value. How you perform is determined by your score and the time you take. When you play a quiz, your answers are evaluated in concept instead of actual words and definitions used.

See sample questions for grade 11

Describe the steps to solve an inequality of the form |ax + b| < c, where c > 0.

Explain how to solve an inequality of the form |x - a| ≤ b, where b ≥ 0.

Explain the difference between the solution sets of |x| < a and |x| > a, where a > 0.

Explain why the inequality |x + 1| < 0 has no solution.

If |x + 4| < 0, what is the solution set?

If |x| ≤ 0, what is the value of x?

Solve for x: |3x - 2| ≤ 7.

Solve for x: |4x - 8| ≤ 0.

Solve for x: |x + 2| ≥ 5.

Solve for x: |x/2 - 1| > 3.

Solve the inequality |2x + 3| < 1.

Solve the inequality |2x + 5| > 11.

Solve the inequality |x - 3| < 5.

Solve the inequality |x + 3| ≥ 10.

Solve the inequality |x/3| < 2.